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11023312014 = 23211137695569
BaseRepresentation
bin10100100010000101…
…00110010010001110
31001110020022021022100
422101002212102032
5140033431441024
65021455455530
7540111414621
oct122102462216
931406267270
1011023312014
114747410520
1221778275a6
1310689ca440
1476801bdb8
15447b467c9
hex2910a648e

11023312014 has 96 divisors (see below), whose sum is σ = 28100872800. Its totient is φ = 3078881280.

The previous prime is 11023311997. The next prime is 11023312039. The reversal of 11023312014 is 41021332011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1976622 + ... + 1982190.

It is an arithmetic number, because the mean of its divisors is an integer number (292717425).

Almost surely, 211023312014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11023312014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14050436400).

11023312014 is an abundant number, since it is smaller than the sum of its proper divisors (17077560786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11023312014 is a wasteful number, since it uses less digits than its factorization.

11023312014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11023312014 its reverse (41021332011), we get a palindrome (52044644025).

The spelling of 11023312014 in words is "eleven billion, twenty-three million, three hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 769 858 1287 1538 2307 2574 4614 5569 6921 8459 9997 11138 13842 16707 16918 19994 25377 29991 33414 50121 50754 59982 61259 72397 76131 89973 100242 109967 122518 144794 152262 179946 183777 217191 219934 329901 367554 434382 551331 651573 659802 796367 989703 1102662 1303146 1592734 1979406 2389101 4282561 4778202 7167303 8565122 12847683 14334606 25695366 38543049 47108171 55673293 77086098 94216342 111346586 141324513 167019879 282649026 334039758 423973539 501059637 612406223 847947078 1002119274 1224812446 1837218669 3674437338 5511656007 11023312014